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Finding the Fourth Proportional to 961.26, 1,442.03 and 413.70

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Solution

The fourth proportional to 961.26, 1,442.03 and 413.70 is: 620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.26 : 1,442.03 = 413.70 : x
  2. Step 2: Convert to fraction form
    961.26/1,442.03 = 413.70/x
  3. Step 3: Cross multiply
    961.26x = 1,442.03 × 413.70
  4. Step 4: Simplify right side
    961.26x = 596,565.74
  5. Step 5: Solve for x
    x = 596,565.74/961.26
  6. Step 6: Final answer
    x = 620.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.